Question

Step 3: Making predictions using data PLEASE HELP ME WILL GIVE BRAINLISEST FOR CORRECTNESS

You and your business partner track the number of customers served and the amount of tips collected per day. The data you gathered is displayed in the chart below.

Servers’ Collected Tips
Customers 54 46 34 67 52 22 49 64 55 80 38 42
Tips ($) $92 $80 $76 $121 $109 $43 $87 $114 $99 $174 $88 $91

a) Create a scatterplot displaying the data in the table. Be sure to include a linear trend line. (2 points)







b) Find the equation of the trend line (line of best fit). Show your work. (2 points)



















c) Predict the amount of tips that would be collected if 100 customers were served at the restaurant on a given day. Explain your reasoning. (2 points)


d) Explain how to use the regression calculator to make a reasonable prediction given a data table. (2 points)

Answer 1

Using technology, the linear regression equation which models the data of the relationship between the number of customers served and tips received is :

• y = 1.87x + 3.66

• predicted amount of tip for 100 customers = $191

The predicted amount of tips received of 100 customers are served :

y = 1.87x + 3.66

x = 100 ; substitute x = 100 into the equation

y = 1.87(100) + 3.66

y = 187 + 3.66

y = 190.66

Hence, about $191 would be received on tips if 100 customers are recorded.

Using a regression calculator to make prediction from a data table :

Enter the x and y axis data into the appropriate column so that the calculator can display the actual data model. Hence, given a certain value of either variable, the predicted value of the required variable can be calculated from the model.

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